Abstract

We study experimentally and numerically the transient behavior of a (2+1)D beam when it is totally reflected by nonlinear interface formed by SBN61:Ce photorefractive crystal. The dynamics give rise to observation of new beams. Due to modulation instability of the beam, the nonlinear interface stimulates the break of the beam into new beams that are reflected to different angles.

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    [CrossRef]
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    [CrossRef] [PubMed]
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    [CrossRef]
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    [CrossRef]
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2011 (1)

J. Sánchez-Curto, P. Chamorro-Posada, and G. S. McDonald, “Black and gray Helmholtz-Kerr soliton refraction,” Phys. Rev. A 83(1), 013828 (2011).
[CrossRef]

2007 (3)

2006 (1)

M. Peccianti, A. Dyadyusha, M. Kaczmarek, and G. Assanto, “Tunable refraction and reflection of self-confined light beams,” Nat. Phys. 2(11), 737–742 (2006).
[CrossRef]

2004 (3)

2003 (2)

L. Jankovic, H. Kim, G. Stegeman, S. Carrasco, Ll. Torner, and M. Katz, “Quadratic soliton self-reflection at a quadratically nonlinear interface,” Opt. Lett. 28(21), 2103–2105 (2003).
[CrossRef] [PubMed]

S. Carrasco, S. Polyakov, H. Kim, L. Jankovic, G. I. Stegeman, J. P. Torres, L. Torner, M. Katz, and D. Eger, “Observation of multiple soliton generation mediated by amplification of asymmetries,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 67(4), 046616 (2003).
[CrossRef] [PubMed]

2002 (2)

2001 (1)

E. Alvarado-Méndez, R. Rojas-Laguna, J. G. Aviña-Cervantes, M. Torres-Cisneros, J. A. Andrade-Lucio, J. C. Pedraza-Ortega, E. A. Kuzin, J. J. Sánchez-Mondragón, and V. Vysloukh, “Total internal reflection of spatial solitons at interface formed by nonlinear saturable and linear medium,” Opt. Commun. 193(1-6), 267–276 (2001).
[CrossRef]

2000 (1)

W. Nasalski, “Modelling of beam reflection at a nonlinear-linear interface,” J. Opt. A, Pure Appl. Opt. 2(5), 433–441 (2000).
[CrossRef]

1998 (3)

M. Saffman and A. A. Zozulya, “Circular solitons do not exist in photorefractive media,” Opt. Lett. 23(20), 1579–1581 (1998).
[CrossRef] [PubMed]

E. Alvarado-Méndez, G. E. Torres-Cisneros, M. Torres-Cisneros, J. J. Sánchez-Mondragón, and V. Vysloukh, “Internal reflection of one-dimensional bright spatial solitons,” Opt. Quantum Electron. 30(7/10), 687–696 (1998).
[CrossRef]

A. A. Zozulya, D. Z. Anderson, A. V. Mamaev, and M. Saffman, “Solitary attractors and low-order filamentation in anisotropic self-defocusing media,” Phys. Rev. A 57(1), 522–534 (1998).
[CrossRef]

1996 (3)

A. A. Zozulya, D. Z. Anderson, A. V. Mamaev, and M. Saffman, “Self-focusing and soliton formation in media with anisotropic nonlocal material response,” Europhys. Lett. 36(6), 419–424 (1996).
[CrossRef]

M. F. Shih, M. Segev, and G. Salamo, “Circular waveguides induced by two-dimensional bright steady-state photorefractive spatial screening solitons,” Opt. Lett. 21(13), 931–934 (1996).
[CrossRef] [PubMed]

H. T. Tran, “Quadratic nonlinear surface waves,” J. Nonlinear Opt. Phys. Mater. 5(1), 133–138 (1996).
[CrossRef]

1995 (1)

G. S. Garcia Quirino, J. J. Sanchez-Mondragon, and S. Stepanov, “Nonlinear surface optical waves in photorefractive crystals with a diffusion mechanism of nonlinearity,” Phys. Rev. A 51(2), 1571–1577 (1995).
[CrossRef] [PubMed]

1990 (1)

Y. S. Kivshar, A. M. Kosevich, and O. A. Chubykalo, “Radiative effects in the theory of beam propagation at nonlinear interfaces,” Phys. Rev. A 41(3), 1677–1688 (1990).
[CrossRef] [PubMed]

1989 (2)

A. B. Aceves, J. V. Moloney, and A. C. Newell, “Theory of light-beam propagation at nonlinear interfaces. I. Equivalent-particle theory for a single interface,” Phys. Rev. A 39(4), 1809–1827 (1989).
[CrossRef] [PubMed]

A. B. Aceves, J. V. Moloney, and A. C. Newell, “Theory of light-beam propagation at nonlinear interfaces. II. Multiple-particle and multiple-interface extensions,” Phys. Rev. A 39(4), 1828–1840 (1989).
[CrossRef] [PubMed]

1985 (1)

N. N. Akhmediev, V. I. Korneev, and Yu. V. Kuz’menko, “Excitation of nonlinear surface waves by Gaussian light beams,” Sov. Phys. JETP 61, 62–66 (1985).

1982 (1)

1981 (1)

P. Smith, W. Tomlinson, P. Maloney, and J.-P. Hermann, “Experimental studies of a nonlinear interface,” IEEE J. Quantum Electron. 17(3), 340–348 (1981).
[CrossRef]

1979 (1)

P. W. Smith, J.-P. Hermann, W. J. Tomlinson, and P. J. Maloney, “Optical bistability at a nonlinear interface,” Appl. Phys. Lett. 35(11), 846–848 (1979).
[CrossRef]

1977 (1)

A. E. Kaplan, “Theory of hysteresis reflection and refraction of light by a boundary of a nonlinear medium,” Sov. Phys. JETP 45, 896–905 (1977).

Aceves, A. B.

A. B. Aceves, J. V. Moloney, and A. C. Newell, “Theory of light-beam propagation at nonlinear interfaces. I. Equivalent-particle theory for a single interface,” Phys. Rev. A 39(4), 1809–1827 (1989).
[CrossRef] [PubMed]

A. B. Aceves, J. V. Moloney, and A. C. Newell, “Theory of light-beam propagation at nonlinear interfaces. II. Multiple-particle and multiple-interface extensions,” Phys. Rev. A 39(4), 1828–1840 (1989).
[CrossRef] [PubMed]

Akhmediev, N. N.

N. N. Akhmediev, V. I. Korneev, and Yu. V. Kuz’menko, “Excitation of nonlinear surface waves by Gaussian light beams,” Sov. Phys. JETP 61, 62–66 (1985).

Aleshkevich, V. A.

Alfassi, B.

Alvarado-Méndez, E.

E. Alvarado-Méndez, R. Rojas-Laguna, J. G. Aviña-Cervantes, M. Torres-Cisneros, J. A. Andrade-Lucio, J. C. Pedraza-Ortega, E. A. Kuzin, J. J. Sánchez-Mondragón, and V. Vysloukh, “Total internal reflection of spatial solitons at interface formed by nonlinear saturable and linear medium,” Opt. Commun. 193(1-6), 267–276 (2001).
[CrossRef]

E. Alvarado-Méndez, G. E. Torres-Cisneros, M. Torres-Cisneros, J. J. Sánchez-Mondragón, and V. Vysloukh, “Internal reflection of one-dimensional bright spatial solitons,” Opt. Quantum Electron. 30(7/10), 687–696 (1998).
[CrossRef]

Anderson, D. Z.

A. A. Zozulya, D. Z. Anderson, A. V. Mamaev, and M. Saffman, “Solitary attractors and low-order filamentation in anisotropic self-defocusing media,” Phys. Rev. A 57(1), 522–534 (1998).
[CrossRef]

A. A. Zozulya, D. Z. Anderson, A. V. Mamaev, and M. Saffman, “Self-focusing and soliton formation in media with anisotropic nonlocal material response,” Europhys. Lett. 36(6), 419–424 (1996).
[CrossRef]

Andrade-Lucio, J. A.

E. Alvarado-Méndez, R. Rojas-Laguna, J. G. Aviña-Cervantes, M. Torres-Cisneros, J. A. Andrade-Lucio, J. C. Pedraza-Ortega, E. A. Kuzin, J. J. Sánchez-Mondragón, and V. Vysloukh, “Total internal reflection of spatial solitons at interface formed by nonlinear saturable and linear medium,” Opt. Commun. 193(1-6), 267–276 (2001).
[CrossRef]

Assanto, G.

M. Peccianti, A. Dyadyusha, M. Kaczmarek, and G. Assanto, “Tunable refraction and reflection of self-confined light beams,” Nat. Phys. 2(11), 737–742 (2006).
[CrossRef]

Aviña-Cervantes, J. G.

E. Alvarado-Méndez, R. Rojas-Laguna, J. G. Aviña-Cervantes, M. Torres-Cisneros, J. A. Andrade-Lucio, J. C. Pedraza-Ortega, E. A. Kuzin, J. J. Sánchez-Mondragón, and V. Vysloukh, “Total internal reflection of spatial solitons at interface formed by nonlinear saturable and linear medium,” Opt. Commun. 193(1-6), 267–276 (2001).
[CrossRef]

Baronio, F.

Barthélémy, A.

Carrasco, S.

S. Carrasco, S. Polyakov, H. Kim, L. Jankovic, G. I. Stegeman, J. P. Torres, L. Torner, M. Katz, and D. Eger, “Observation of multiple soliton generation mediated by amplification of asymmetries,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 67(4), 046616 (2003).
[CrossRef] [PubMed]

L. Jankovic, H. Kim, G. Stegeman, S. Carrasco, Ll. Torner, and M. Katz, “Quadratic soliton self-reflection at a quadratically nonlinear interface,” Opt. Lett. 28(21), 2103–2105 (2003).
[CrossRef] [PubMed]

Chamorro-Posada, P.

J. Sánchez-Curto, P. Chamorro-Posada, and G. S. McDonald, “Black and gray Helmholtz-Kerr soliton refraction,” Phys. Rev. A 83(1), 013828 (2011).
[CrossRef]

Christodoulides, D. N.

Chubykalo, O. A.

Y. S. Kivshar, A. M. Kosevich, and O. A. Chubykalo, “Radiative effects in the theory of beam propagation at nonlinear interfaces,” Phys. Rev. A 41(3), 1677–1688 (1990).
[CrossRef] [PubMed]

Couderc, V.

De Angelis, C.

Dyadyusha, A.

M. Peccianti, A. Dyadyusha, M. Kaczmarek, and G. Assanto, “Tunable refraction and reflection of self-confined light beams,” Nat. Phys. 2(11), 737–742 (2006).
[CrossRef]

Eger, D.

S. Carrasco, S. Polyakov, H. Kim, L. Jankovic, G. I. Stegeman, J. P. Torres, L. Torner, M. Katz, and D. Eger, “Observation of multiple soliton generation mediated by amplification of asymmetries,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 67(4), 046616 (2003).
[CrossRef] [PubMed]

Feng, L.

T. H. Zhang, X. K. Ren, B. H. Wang, C. B. Lou, Z. J. Hu, W. W. Shao, Y. H. Xu, H. Z. Kang, J. Yang, L. Feng, and J. J. Xu, “Surface waves with photorefractive nonlinearity,” Phys. Rev. A 76(1), 013827 (2007).
[CrossRef]

Garcia Quirino, G. S.

G. S. Garcia Quirino, J. J. Sanchez-Mondragon, and S. Stepanov, “Nonlinear surface optical waves in photorefractive crystals with a diffusion mechanism of nonlinearity,” Phys. Rev. A 51(2), 1571–1577 (1995).
[CrossRef] [PubMed]

Gilles, H.

Girard, S. S.

Gordon, J. P.

Hamel, J.

Hermann, J.-P.

P. Smith, W. Tomlinson, P. Maloney, and J.-P. Hermann, “Experimental studies of a nonlinear interface,” IEEE J. Quantum Electron. 17(3), 340–348 (1981).
[CrossRef]

P. W. Smith, J.-P. Hermann, W. J. Tomlinson, and P. J. Maloney, “Optical bistability at a nonlinear interface,” Appl. Phys. Lett. 35(11), 846–848 (1979).
[CrossRef]

Hu, Z. J.

T. H. Zhang, X. K. Ren, B. H. Wang, C. B. Lou, Z. J. Hu, W. W. Shao, Y. H. Xu, H. Z. Kang, J. Yang, L. Feng, and J. J. Xu, “Surface waves with photorefractive nonlinearity,” Phys. Rev. A 76(1), 013827 (2007).
[CrossRef]

Jankovic, L.

L. Jankovic, H. Kim, G. Stegeman, S. Carrasco, Ll. Torner, and M. Katz, “Quadratic soliton self-reflection at a quadratically nonlinear interface,” Opt. Lett. 28(21), 2103–2105 (2003).
[CrossRef] [PubMed]

S. Carrasco, S. Polyakov, H. Kim, L. Jankovic, G. I. Stegeman, J. P. Torres, L. Torner, M. Katz, and D. Eger, “Observation of multiple soliton generation mediated by amplification of asymmetries,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 67(4), 046616 (2003).
[CrossRef] [PubMed]

Kaczmarek, M.

M. Peccianti, A. Dyadyusha, M. Kaczmarek, and G. Assanto, “Tunable refraction and reflection of self-confined light beams,” Nat. Phys. 2(11), 737–742 (2006).
[CrossRef]

Kang, H. Z.

T. H. Zhang, X. K. Ren, B. H. Wang, C. B. Lou, Z. J. Hu, W. W. Shao, Y. H. Xu, H. Z. Kang, J. Yang, L. Feng, and J. J. Xu, “Surface waves with photorefractive nonlinearity,” Phys. Rev. A 76(1), 013827 (2007).
[CrossRef]

Kaplan, A. E.

W. J. Tomlinson, J. P. Gordon, P. W. Smith, and A. E. Kaplan, “Reflection of a Gaussian beam at a nonlinear interface,” Appl. Opt. 21(11), 2041–2051 (1982).
[CrossRef] [PubMed]

A. E. Kaplan, “Theory of hysteresis reflection and refraction of light by a boundary of a nonlinear medium,” Sov. Phys. JETP 45, 896–905 (1977).

Kartashov, Y. V.

Katz, M.

S. Carrasco, S. Polyakov, H. Kim, L. Jankovic, G. I. Stegeman, J. P. Torres, L. Torner, M. Katz, and D. Eger, “Observation of multiple soliton generation mediated by amplification of asymmetries,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 67(4), 046616 (2003).
[CrossRef] [PubMed]

L. Jankovic, H. Kim, G. Stegeman, S. Carrasco, Ll. Torner, and M. Katz, “Quadratic soliton self-reflection at a quadratically nonlinear interface,” Opt. Lett. 28(21), 2103–2105 (2003).
[CrossRef] [PubMed]

Kim, H.

L. Jankovic, H. Kim, G. Stegeman, S. Carrasco, Ll. Torner, and M. Katz, “Quadratic soliton self-reflection at a quadratically nonlinear interface,” Opt. Lett. 28(21), 2103–2105 (2003).
[CrossRef] [PubMed]

S. Carrasco, S. Polyakov, H. Kim, L. Jankovic, G. I. Stegeman, J. P. Torres, L. Torner, M. Katz, and D. Eger, “Observation of multiple soliton generation mediated by amplification of asymmetries,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 67(4), 046616 (2003).
[CrossRef] [PubMed]

Kivshar, Y. S.

Y. S. Kivshar, A. M. Kosevich, and O. A. Chubykalo, “Radiative effects in the theory of beam propagation at nonlinear interfaces,” Phys. Rev. A 41(3), 1677–1688 (1990).
[CrossRef] [PubMed]

Korneev, V. I.

N. N. Akhmediev, V. I. Korneev, and Yu. V. Kuz’menko, “Excitation of nonlinear surface waves by Gaussian light beams,” Sov. Phys. JETP 61, 62–66 (1985).

Kosevich, A. M.

Y. S. Kivshar, A. M. Kosevich, and O. A. Chubykalo, “Radiative effects in the theory of beam propagation at nonlinear interfaces,” Phys. Rev. A 41(3), 1677–1688 (1990).
[CrossRef] [PubMed]

Krolikowski, W.

M. Saffman, G. McCarthy, and W. Krolikowski, “Two-dimensional modulational instability in photorefractive media,” J. Opt. B Quantum Semiclassical Opt. 6(5), S397–S403 (2004).
[CrossRef]

Kuz’menko, Yu. V.

N. N. Akhmediev, V. I. Korneev, and Yu. V. Kuz’menko, “Excitation of nonlinear surface waves by Gaussian light beams,” Sov. Phys. JETP 61, 62–66 (1985).

Kuzin, E. A.

E. Alvarado-Méndez, R. Rojas-Laguna, J. G. Aviña-Cervantes, M. Torres-Cisneros, J. A. Andrade-Lucio, J. C. Pedraza-Ortega, E. A. Kuzin, J. J. Sánchez-Mondragón, and V. Vysloukh, “Total internal reflection of spatial solitons at interface formed by nonlinear saturable and linear medium,” Opt. Commun. 193(1-6), 267–276 (2001).
[CrossRef]

Lou, C. B.

T. H. Zhang, X. K. Ren, B. H. Wang, C. B. Lou, Z. J. Hu, W. W. Shao, Y. H. Xu, H. Z. Kang, J. Yang, L. Feng, and J. J. Xu, “Surface waves with photorefractive nonlinearity,” Phys. Rev. A 76(1), 013827 (2007).
[CrossRef]

Maloney, P.

P. Smith, W. Tomlinson, P. Maloney, and J.-P. Hermann, “Experimental studies of a nonlinear interface,” IEEE J. Quantum Electron. 17(3), 340–348 (1981).
[CrossRef]

Maloney, P. J.

P. W. Smith, J.-P. Hermann, W. J. Tomlinson, and P. J. Maloney, “Optical bistability at a nonlinear interface,” Appl. Phys. Lett. 35(11), 846–848 (1979).
[CrossRef]

Mamaev, A. V.

A. A. Zozulya, D. Z. Anderson, A. V. Mamaev, and M. Saffman, “Solitary attractors and low-order filamentation in anisotropic self-defocusing media,” Phys. Rev. A 57(1), 522–534 (1998).
[CrossRef]

A. A. Zozulya, D. Z. Anderson, A. V. Mamaev, and M. Saffman, “Self-focusing and soliton formation in media with anisotropic nonlocal material response,” Europhys. Lett. 36(6), 419–424 (1996).
[CrossRef]

Manela, O.

McCarthy, G.

M. Saffman, G. McCarthy, and W. Krolikowski, “Two-dimensional modulational instability in photorefractive media,” J. Opt. B Quantum Semiclassical Opt. 6(5), S397–S403 (2004).
[CrossRef]

McDonald, G. S.

J. Sánchez-Curto, P. Chamorro-Posada, and G. S. McDonald, “Black and gray Helmholtz-Kerr soliton refraction,” Phys. Rev. A 83(1), 013828 (2011).
[CrossRef]

Moloney, J. V.

A. B. Aceves, J. V. Moloney, and A. C. Newell, “Theory of light-beam propagation at nonlinear interfaces. I. Equivalent-particle theory for a single interface,” Phys. Rev. A 39(4), 1809–1827 (1989).
[CrossRef] [PubMed]

A. B. Aceves, J. V. Moloney, and A. C. Newell, “Theory of light-beam propagation at nonlinear interfaces. II. Multiple-particle and multiple-interface extensions,” Phys. Rev. A 39(4), 1828–1840 (1989).
[CrossRef] [PubMed]

Nasalski, W.

W. Nasalski, “Modelling of beam reflection at a nonlinear-linear interface,” J. Opt. A, Pure Appl. Opt. 2(5), 433–441 (2000).
[CrossRef]

Newell, A. C.

A. B. Aceves, J. V. Moloney, and A. C. Newell, “Theory of light-beam propagation at nonlinear interfaces. II. Multiple-particle and multiple-interface extensions,” Phys. Rev. A 39(4), 1828–1840 (1989).
[CrossRef] [PubMed]

A. B. Aceves, J. V. Moloney, and A. C. Newell, “Theory of light-beam propagation at nonlinear interfaces. I. Equivalent-particle theory for a single interface,” Phys. Rev. A 39(4), 1809–1827 (1989).
[CrossRef] [PubMed]

Orenstein, M.

Peccianti, M.

M. Peccianti, A. Dyadyusha, M. Kaczmarek, and G. Assanto, “Tunable refraction and reflection of self-confined light beams,” Nat. Phys. 2(11), 737–742 (2006).
[CrossRef]

Pedraza-Ortega, J. C.

E. Alvarado-Méndez, R. Rojas-Laguna, J. G. Aviña-Cervantes, M. Torres-Cisneros, J. A. Andrade-Lucio, J. C. Pedraza-Ortega, E. A. Kuzin, J. J. Sánchez-Mondragón, and V. Vysloukh, “Total internal reflection of spatial solitons at interface formed by nonlinear saturable and linear medium,” Opt. Commun. 193(1-6), 267–276 (2001).
[CrossRef]

Pioger, P. H.

Polyakov, S.

S. Carrasco, S. Polyakov, H. Kim, L. Jankovic, G. I. Stegeman, J. P. Torres, L. Torner, M. Katz, and D. Eger, “Observation of multiple soliton generation mediated by amplification of asymmetries,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 67(4), 046616 (2003).
[CrossRef] [PubMed]

Ren, X. K.

T. H. Zhang, X. K. Ren, B. H. Wang, C. B. Lou, Z. J. Hu, W. W. Shao, Y. H. Xu, H. Z. Kang, J. Yang, L. Feng, and J. J. Xu, “Surface waves with photorefractive nonlinearity,” Phys. Rev. A 76(1), 013827 (2007).
[CrossRef]

Rojas-Laguna, R.

E. Alvarado-Méndez, R. Rojas-Laguna, J. G. Aviña-Cervantes, M. Torres-Cisneros, J. A. Andrade-Lucio, J. C. Pedraza-Ortega, E. A. Kuzin, J. J. Sánchez-Mondragón, and V. Vysloukh, “Total internal reflection of spatial solitons at interface formed by nonlinear saturable and linear medium,” Opt. Commun. 193(1-6), 267–276 (2001).
[CrossRef]

Rotschild, C.

Saffman, M.

M. Saffman, G. McCarthy, and W. Krolikowski, “Two-dimensional modulational instability in photorefractive media,” J. Opt. B Quantum Semiclassical Opt. 6(5), S397–S403 (2004).
[CrossRef]

A. A. Zozulya, D. Z. Anderson, A. V. Mamaev, and M. Saffman, “Solitary attractors and low-order filamentation in anisotropic self-defocusing media,” Phys. Rev. A 57(1), 522–534 (1998).
[CrossRef]

M. Saffman and A. A. Zozulya, “Circular solitons do not exist in photorefractive media,” Opt. Lett. 23(20), 1579–1581 (1998).
[CrossRef] [PubMed]

A. A. Zozulya, D. Z. Anderson, A. V. Mamaev, and M. Saffman, “Self-focusing and soliton formation in media with anisotropic nonlocal material response,” Europhys. Lett. 36(6), 419–424 (1996).
[CrossRef]

Salamo, G.

Sánchez-Curto, J.

J. Sánchez-Curto, P. Chamorro-Posada, and G. S. McDonald, “Black and gray Helmholtz-Kerr soliton refraction,” Phys. Rev. A 83(1), 013828 (2011).
[CrossRef]

Sanchez-Mondragon, J. J.

G. S. Garcia Quirino, J. J. Sanchez-Mondragon, and S. Stepanov, “Nonlinear surface optical waves in photorefractive crystals with a diffusion mechanism of nonlinearity,” Phys. Rev. A 51(2), 1571–1577 (1995).
[CrossRef] [PubMed]

Sánchez-Mondragón, J. J.

E. Alvarado-Méndez, R. Rojas-Laguna, J. G. Aviña-Cervantes, M. Torres-Cisneros, J. A. Andrade-Lucio, J. C. Pedraza-Ortega, E. A. Kuzin, J. J. Sánchez-Mondragón, and V. Vysloukh, “Total internal reflection of spatial solitons at interface formed by nonlinear saturable and linear medium,” Opt. Commun. 193(1-6), 267–276 (2001).
[CrossRef]

E. Alvarado-Méndez, G. E. Torres-Cisneros, M. Torres-Cisneros, J. J. Sánchez-Mondragón, and V. Vysloukh, “Internal reflection of one-dimensional bright spatial solitons,” Opt. Quantum Electron. 30(7/10), 687–696 (1998).
[CrossRef]

Scheuer, J.

Segev, M.

Shao, W. W.

T. H. Zhang, X. K. Ren, B. H. Wang, C. B. Lou, Z. J. Hu, W. W. Shao, Y. H. Xu, H. Z. Kang, J. Yang, L. Feng, and J. J. Xu, “Surface waves with photorefractive nonlinearity,” Phys. Rev. A 76(1), 013827 (2007).
[CrossRef]

Shih, M. F.

Smith, P.

P. Smith, W. Tomlinson, P. Maloney, and J.-P. Hermann, “Experimental studies of a nonlinear interface,” IEEE J. Quantum Electron. 17(3), 340–348 (1981).
[CrossRef]

Smith, P. W.

W. J. Tomlinson, J. P. Gordon, P. W. Smith, and A. E. Kaplan, “Reflection of a Gaussian beam at a nonlinear interface,” Appl. Opt. 21(11), 2041–2051 (1982).
[CrossRef] [PubMed]

P. W. Smith, J.-P. Hermann, W. J. Tomlinson, and P. J. Maloney, “Optical bistability at a nonlinear interface,” Appl. Phys. Lett. 35(11), 846–848 (1979).
[CrossRef]

Stegeman, G.

Stegeman, G. I.

S. Carrasco, S. Polyakov, H. Kim, L. Jankovic, G. I. Stegeman, J. P. Torres, L. Torner, M. Katz, and D. Eger, “Observation of multiple soliton generation mediated by amplification of asymmetries,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 67(4), 046616 (2003).
[CrossRef] [PubMed]

Stepanov, S.

G. S. Garcia Quirino, J. J. Sanchez-Mondragon, and S. Stepanov, “Nonlinear surface optical waves in photorefractive crystals with a diffusion mechanism of nonlinearity,” Phys. Rev. A 51(2), 1571–1577 (1995).
[CrossRef] [PubMed]

Tomlinson, W.

P. Smith, W. Tomlinson, P. Maloney, and J.-P. Hermann, “Experimental studies of a nonlinear interface,” IEEE J. Quantum Electron. 17(3), 340–348 (1981).
[CrossRef]

Tomlinson, W. J.

W. J. Tomlinson, J. P. Gordon, P. W. Smith, and A. E. Kaplan, “Reflection of a Gaussian beam at a nonlinear interface,” Appl. Opt. 21(11), 2041–2051 (1982).
[CrossRef] [PubMed]

P. W. Smith, J.-P. Hermann, W. J. Tomlinson, and P. J. Maloney, “Optical bistability at a nonlinear interface,” Appl. Phys. Lett. 35(11), 846–848 (1979).
[CrossRef]

Torner, L.

S. Carrasco, S. Polyakov, H. Kim, L. Jankovic, G. I. Stegeman, J. P. Torres, L. Torner, M. Katz, and D. Eger, “Observation of multiple soliton generation mediated by amplification of asymmetries,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 67(4), 046616 (2003).
[CrossRef] [PubMed]

Torner, Ll.

Torres, J. P.

V. A. Aleshkevich, Y. V. Kartashov, A. S. Zelenina, V. A. Vysloukh, J. P. Torres, and Ll. Torner, “Eigenvalue control and switching by fission of multisoliton bound states in planar waveguides,” Opt. Lett. 29(5), 483–485 (2004).
[CrossRef] [PubMed]

S. Carrasco, S. Polyakov, H. Kim, L. Jankovic, G. I. Stegeman, J. P. Torres, L. Torner, M. Katz, and D. Eger, “Observation of multiple soliton generation mediated by amplification of asymmetries,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 67(4), 046616 (2003).
[CrossRef] [PubMed]

Torres-Cisneros, G. E.

E. Alvarado-Méndez, G. E. Torres-Cisneros, M. Torres-Cisneros, J. J. Sánchez-Mondragón, and V. Vysloukh, “Internal reflection of one-dimensional bright spatial solitons,” Opt. Quantum Electron. 30(7/10), 687–696 (1998).
[CrossRef]

Torres-Cisneros, M.

E. Alvarado-Méndez, R. Rojas-Laguna, J. G. Aviña-Cervantes, M. Torres-Cisneros, J. A. Andrade-Lucio, J. C. Pedraza-Ortega, E. A. Kuzin, J. J. Sánchez-Mondragón, and V. Vysloukh, “Total internal reflection of spatial solitons at interface formed by nonlinear saturable and linear medium,” Opt. Commun. 193(1-6), 267–276 (2001).
[CrossRef]

E. Alvarado-Méndez, G. E. Torres-Cisneros, M. Torres-Cisneros, J. J. Sánchez-Mondragón, and V. Vysloukh, “Internal reflection of one-dimensional bright spatial solitons,” Opt. Quantum Electron. 30(7/10), 687–696 (1998).
[CrossRef]

Tran, H. T.

H. T. Tran, “Quadratic nonlinear surface waves,” J. Nonlinear Opt. Phys. Mater. 5(1), 133–138 (1996).
[CrossRef]

Vysloukh, V.

E. Alvarado-Méndez, R. Rojas-Laguna, J. G. Aviña-Cervantes, M. Torres-Cisneros, J. A. Andrade-Lucio, J. C. Pedraza-Ortega, E. A. Kuzin, J. J. Sánchez-Mondragón, and V. Vysloukh, “Total internal reflection of spatial solitons at interface formed by nonlinear saturable and linear medium,” Opt. Commun. 193(1-6), 267–276 (2001).
[CrossRef]

E. Alvarado-Méndez, G. E. Torres-Cisneros, M. Torres-Cisneros, J. J. Sánchez-Mondragón, and V. Vysloukh, “Internal reflection of one-dimensional bright spatial solitons,” Opt. Quantum Electron. 30(7/10), 687–696 (1998).
[CrossRef]

Vysloukh, V. A.

Wang, B. H.

T. H. Zhang, X. K. Ren, B. H. Wang, C. B. Lou, Z. J. Hu, W. W. Shao, Y. H. Xu, H. Z. Kang, J. Yang, L. Feng, and J. J. Xu, “Surface waves with photorefractive nonlinearity,” Phys. Rev. A 76(1), 013827 (2007).
[CrossRef]

Xu, J. J.

T. H. Zhang, X. K. Ren, B. H. Wang, C. B. Lou, Z. J. Hu, W. W. Shao, Y. H. Xu, H. Z. Kang, J. Yang, L. Feng, and J. J. Xu, “Surface waves with photorefractive nonlinearity,” Phys. Rev. A 76(1), 013827 (2007).
[CrossRef]

Xu, Y. H.

T. H. Zhang, X. K. Ren, B. H. Wang, C. B. Lou, Z. J. Hu, W. W. Shao, Y. H. Xu, H. Z. Kang, J. Yang, L. Feng, and J. J. Xu, “Surface waves with photorefractive nonlinearity,” Phys. Rev. A 76(1), 013827 (2007).
[CrossRef]

Yang, J.

T. H. Zhang, X. K. Ren, B. H. Wang, C. B. Lou, Z. J. Hu, W. W. Shao, Y. H. Xu, H. Z. Kang, J. Yang, L. Feng, and J. J. Xu, “Surface waves with photorefractive nonlinearity,” Phys. Rev. A 76(1), 013827 (2007).
[CrossRef]

Ye, F.

Zelenina, A. S.

Zhang, T. H.

T. H. Zhang, X. K. Ren, B. H. Wang, C. B. Lou, Z. J. Hu, W. W. Shao, Y. H. Xu, H. Z. Kang, J. Yang, L. Feng, and J. J. Xu, “Surface waves with photorefractive nonlinearity,” Phys. Rev. A 76(1), 013827 (2007).
[CrossRef]

Zozulya, A. A.

A. A. Zozulya, D. Z. Anderson, A. V. Mamaev, and M. Saffman, “Solitary attractors and low-order filamentation in anisotropic self-defocusing media,” Phys. Rev. A 57(1), 522–534 (1998).
[CrossRef]

M. Saffman and A. A. Zozulya, “Circular solitons do not exist in photorefractive media,” Opt. Lett. 23(20), 1579–1581 (1998).
[CrossRef] [PubMed]

A. A. Zozulya, D. Z. Anderson, A. V. Mamaev, and M. Saffman, “Self-focusing and soliton formation in media with anisotropic nonlocal material response,” Europhys. Lett. 36(6), 419–424 (1996).
[CrossRef]

Appl. Opt. (1)

Appl. Phys. Lett. (1)

P. W. Smith, J.-P. Hermann, W. J. Tomlinson, and P. J. Maloney, “Optical bistability at a nonlinear interface,” Appl. Phys. Lett. 35(11), 846–848 (1979).
[CrossRef]

Europhys. Lett. (1)

A. A. Zozulya, D. Z. Anderson, A. V. Mamaev, and M. Saffman, “Self-focusing and soliton formation in media with anisotropic nonlocal material response,” Europhys. Lett. 36(6), 419–424 (1996).
[CrossRef]

IEEE J. Quantum Electron. (1)

P. Smith, W. Tomlinson, P. Maloney, and J.-P. Hermann, “Experimental studies of a nonlinear interface,” IEEE J. Quantum Electron. 17(3), 340–348 (1981).
[CrossRef]

J. Nonlinear Opt. Phys. Mater. (1)

H. T. Tran, “Quadratic nonlinear surface waves,” J. Nonlinear Opt. Phys. Mater. 5(1), 133–138 (1996).
[CrossRef]

J. Opt. A, Pure Appl. Opt. (1)

W. Nasalski, “Modelling of beam reflection at a nonlinear-linear interface,” J. Opt. A, Pure Appl. Opt. 2(5), 433–441 (2000).
[CrossRef]

J. Opt. B Quantum Semiclassical Opt. (1)

M. Saffman, G. McCarthy, and W. Krolikowski, “Two-dimensional modulational instability in photorefractive media,” J. Opt. B Quantum Semiclassical Opt. 6(5), S397–S403 (2004).
[CrossRef]

J. Opt. Soc. Am. B (1)

Nat. Phys. (1)

M. Peccianti, A. Dyadyusha, M. Kaczmarek, and G. Assanto, “Tunable refraction and reflection of self-confined light beams,” Nat. Phys. 2(11), 737–742 (2006).
[CrossRef]

Opt. Commun. (1)

E. Alvarado-Méndez, R. Rojas-Laguna, J. G. Aviña-Cervantes, M. Torres-Cisneros, J. A. Andrade-Lucio, J. C. Pedraza-Ortega, E. A. Kuzin, J. J. Sánchez-Mondragón, and V. Vysloukh, “Total internal reflection of spatial solitons at interface formed by nonlinear saturable and linear medium,” Opt. Commun. 193(1-6), 267–276 (2001).
[CrossRef]

Opt. Lett. (8)

H. Gilles, S. S. Girard, and J. Hamel, “Simple technique for measuring the Goos-Hänchen effect with polarization modulation and a position-sensitive detector,” Opt. Lett. 27(16), 1421–1423 (2002).
[CrossRef] [PubMed]

M. Saffman and A. A. Zozulya, “Circular solitons do not exist in photorefractive media,” Opt. Lett. 23(20), 1579–1581 (1998).
[CrossRef] [PubMed]

M. F. Shih, M. Segev, and G. Salamo, “Circular waveguides induced by two-dimensional bright steady-state photorefractive spatial screening solitons,” Opt. Lett. 21(13), 931–934 (1996).
[CrossRef] [PubMed]

L. Jankovic, H. Kim, G. Stegeman, S. Carrasco, Ll. Torner, and M. Katz, “Quadratic soliton self-reflection at a quadratically nonlinear interface,” Opt. Lett. 28(21), 2103–2105 (2003).
[CrossRef] [PubMed]

F. Baronio, C. De Angelis, P. H. Pioger, V. Couderc, and A. Barthélémy, “Reflection of quadratic solitons at the boundary of nonlinear media,” Opt. Lett. 29(9), 986–988 (2004).
[CrossRef] [PubMed]

B. Alfassi, C. Rotschild, O. Manela, M. Segev, and D. N. Christodoulides, “Boundary force effects exerted on solitons in highly nonlinear media,” Opt. Lett. 32(2), 154–156 (2007).
[CrossRef] [PubMed]

V. A. Aleshkevich, Y. V. Kartashov, A. S. Zelenina, V. A. Vysloukh, J. P. Torres, and Ll. Torner, “Eigenvalue control and switching by fission of multisoliton bound states in planar waveguides,” Opt. Lett. 29(5), 483–485 (2004).
[CrossRef] [PubMed]

F. Ye, Y. V. Kartashov, and Ll. Torner, “Vector soliton fission by reflection at nonlinear interfaces,” Opt. Lett. 32(4), 394–396 (2007).
[CrossRef] [PubMed]

Opt. Quantum Electron. (1)

E. Alvarado-Méndez, G. E. Torres-Cisneros, M. Torres-Cisneros, J. J. Sánchez-Mondragón, and V. Vysloukh, “Internal reflection of one-dimensional bright spatial solitons,” Opt. Quantum Electron. 30(7/10), 687–696 (1998).
[CrossRef]

Phys. Rev. A (7)

A. A. Zozulya, D. Z. Anderson, A. V. Mamaev, and M. Saffman, “Solitary attractors and low-order filamentation in anisotropic self-defocusing media,” Phys. Rev. A 57(1), 522–534 (1998).
[CrossRef]

J. Sánchez-Curto, P. Chamorro-Posada, and G. S. McDonald, “Black and gray Helmholtz-Kerr soliton refraction,” Phys. Rev. A 83(1), 013828 (2011).
[CrossRef]

T. H. Zhang, X. K. Ren, B. H. Wang, C. B. Lou, Z. J. Hu, W. W. Shao, Y. H. Xu, H. Z. Kang, J. Yang, L. Feng, and J. J. Xu, “Surface waves with photorefractive nonlinearity,” Phys. Rev. A 76(1), 013827 (2007).
[CrossRef]

G. S. Garcia Quirino, J. J. Sanchez-Mondragon, and S. Stepanov, “Nonlinear surface optical waves in photorefractive crystals with a diffusion mechanism of nonlinearity,” Phys. Rev. A 51(2), 1571–1577 (1995).
[CrossRef] [PubMed]

A. B. Aceves, J. V. Moloney, and A. C. Newell, “Theory of light-beam propagation at nonlinear interfaces. I. Equivalent-particle theory for a single interface,” Phys. Rev. A 39(4), 1809–1827 (1989).
[CrossRef] [PubMed]

A. B. Aceves, J. V. Moloney, and A. C. Newell, “Theory of light-beam propagation at nonlinear interfaces. II. Multiple-particle and multiple-interface extensions,” Phys. Rev. A 39(4), 1828–1840 (1989).
[CrossRef] [PubMed]

Y. S. Kivshar, A. M. Kosevich, and O. A. Chubykalo, “Radiative effects in the theory of beam propagation at nonlinear interfaces,” Phys. Rev. A 41(3), 1677–1688 (1990).
[CrossRef] [PubMed]

Phys. Rev. E Stat. Nonlin. Soft Matter Phys. (1)

S. Carrasco, S. Polyakov, H. Kim, L. Jankovic, G. I. Stegeman, J. P. Torres, L. Torner, M. Katz, and D. Eger, “Observation of multiple soliton generation mediated by amplification of asymmetries,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 67(4), 046616 (2003).
[CrossRef] [PubMed]

Sov. Phys. JETP (2)

A. E. Kaplan, “Theory of hysteresis reflection and refraction of light by a boundary of a nonlinear medium,” Sov. Phys. JETP 45, 896–905 (1977).

N. N. Akhmediev, V. I. Korneev, and Yu. V. Kuz’menko, “Excitation of nonlinear surface waves by Gaussian light beams,” Sov. Phys. JETP 61, 62–66 (1985).

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Figures (11)

Fig. 1
Fig. 1

Beam filamentation falling upon an interface between nonlinear and linear media.

Fig. 2
Fig. 2

Numerical simulations of total internal reflection of the (2+1)D beam. a) input face; b) output face without voltage. The parameters are V=0.5 , y 0 =5 , x 0 =5 , η=7 .

Fig. 3
Fig. 3

Numerical simulations of the broken up (2+1)D beam. The parameters are V=0.5 ; y 0 =5 ; x 0 =5 ; η=10 .

Fig. 4
Fig. 4

The beam propagation when: a) it is reflected by nonlinear interface, b) the beam is propagated in nonlinear medium without interface. In both cases the numerical values are x 0 =5 , V=0.5 , η=10 .

Fig. 5
Fig. 5

Gaussian beam in x-y plane to different values of propagation distance. (a) initial beam profile for Z = 0; (b) Z = 5; (c) Z = 10; (d) Z = 15; (e) Z = 18; sequence of the beam when is reflected by nonlinear interface: f) Z = 20; g) Z = 25; h) Z = 30; i) Z = 35; the beam is broken up in two new beams stimulated by nonlinear interface;

Fig. 6
Fig. 6

The pictures (a), (c), and (e) correspond to the beam propagation within nonlinear interface. The pictures (b), (d) and (f) refer to the beam reflection with nonlinear interface, at different values of nonlinearity.

Fig. 7
Fig. 7

Experimental setup for studying the total internal reflection of (2+1)D beam in SBN61:Ce photorefractive crystal.

Fig. 8
Fig. 8

Dynamics of the beam for 600 V/cm each 10 s. (f) the self-focusing beam is observed at 50 s.

Fig. 10
Fig. 10

Dynamics of the beam for 1000 V/cm each 10 s. (f) the beam is broken up in four new beams at 50 s.

Fig. 9
Fig. 9

Evolution of the beam for 800 V/cm each 10 s. (f) the beam is broken up in two new beams.

Fig. 11
Fig. 11

Numerical and experimental comparison: a) first case, transversal profile of intensity of the beam for 600 V/cm (Fig. 8(f)); b) numerical transversal profile intensity for η = 7.81; c) second case, 800 v/cm (Fig. 9(f)); d) numerical profile intensity for η = 10.42; e) third case, 1000 V/cm (Fig. 10(f)); f) numerical profile intensity for η = 13.1.

Equations (1)

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i A Z = 1 2 ( 2 A X 2 + 2 A Y 2 )+ηf(X,Y)[ Δ+ μ|A | 2 1+μ|A | 2 ]A

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